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the pie chart shows information about pupils in ks3 at a school altogether there are 200 students? whats the ansa
Mark owns a personal training business he makes a total of $500 for every 3 client she acquired Mark hopes to one day earn $10,000 estimate how many clients mark would need
Answer:
60
Step-by-step explanation:
60x500/3=10,000
To earn $10,000 in one day Mark needs 60 clients in one day.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given that, Mark makes a total of $500 for every 3 clients she acquired.
∴ To find how many clients he needs to earn $10,000 in a day we have to divide the earnings wanted by earnings per client which is,
= (10000)÷(500/3).
= 10000×3/500.
= 100×3/5.
= 300/5.
= 60.
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CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arrived at your answer.
Answer:
3x -7y = 0
Step-by-step explanation:
Parallel lines have the same slope.
Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.
The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.
Parallel line:
-3x +7y = 0
In standard form:
3x -7y = 0
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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What is true about -9.94 and -9.8 when
plotted on a number line?
Answer: A number line is defined as the pictorial representation of numbers such as fractions, integers, and whole numbers laid out evenly on a straight horizontal line. Positive numbers are plotted to the right of the origin while negative numbers are plotted to the left of the origin.
Step-by-step explanation:
The size of the second application is 3.45 MB less than the first application. What is the size of the second application?
The size of the second application given the size of the first application and the expression ( x - 3.45 mb) for the size of the second application is 293.55 MB.
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = -5x + 4
Answer:
y = -1/5 + 7
Step-by-step explanation:
Substitute the point (1,2) for the x and the y in the equation, set the 4 to b since we are solving for b.
2 = -5(1) + b now solve for b
2 = -5 + b
+5 +5
7 = b
we know that the slope must be the reciprocal for it to be perpendicular
y = -1/5 + 7 add b (7) to the equation and change the reciprocal
erm I need help with this mathsquestion help me please
Which point is located at the origin?
Answer:
it is point A
Step-by-step explanation:
because it is in the centre of the ghraph and that's the origin
One example of a difference between discrete random variables and continuous random variables is that in a discrete distribution P(x>2) while in a continuous distribution P(x>2) is treated the same s P(x>-2)
In a continuous distribution of random variables, P(x>2) is treated the same as P(x>-2) because both represent areas under the probability density function, rather than specific values of the variable.
The main difference between discrete random variables and continuous random variables is that discrete random variables can only take on specific values, while continuous random variables can take on any value within a range.
This leads to differences in how probabilities are calculated for different values of the variable. In a discrete distribution, the probability of an event such as P(x>2) can be calculated directly by adding up the probabilities of all possible values of x that are greater than 2.
However, in a continuous distribution, the probability of an event such as P(x>2) must be calculated using integration, because the variable can take on an infinite number of values within the range.
Additionally, because continuous random variables can take on any value within a range, probabilities for specific values are typically very small and are often expressed as the probability density function.
Therefore, in a continuous distribution, P(x>2) is treated the same as P(x>-2) because both represent areas under the probability density function, rather than specific values of the variable.
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Order the number from least to greatest 7,2, square root 8/2
Step-by-step explanation:
The √(8/2) is equal to 2 if you meant that then the order is 2, 2, 7.
If not then the square root of 8 is approximately 2.82842712475 so divide that by 2 and you get
1.41421356237.
3-2y=9 so (3-2y)2
Please tell me what it equals
Answer:
81
Step-by-step explanation:
Pls help!!!!
make a list of some of the challenges when reading a text containing historical content.
Reading a text containing historical content can present several challenges, including unfamiliar vocabulary, cultural context, biased perspectives, interpretation of primary sources, and navigating different historical periods.
One of the challenges when reading historical texts is encountering unfamiliar vocabulary and terminology that may be specific to the time period being discussed. Historical texts often use language and terms that may have different meanings or have fallen out of common usage. Another challenge is understanding the cultural context in which the events took place. Cultural norms, beliefs, and social structures of the past can be different from our present understanding, requiring readers to research and gain insight into the historical context.
Additionally, historical texts can present biased perspectives or reflect the prevailing ideologies of the time, which may require readers to critically analyze the information and consider alternative viewpoints. Interpreting primary sources, such as diaries, letters, or official documents, can be challenging due to the potential for bias, subjective viewpoints, and the need to cross-reference multiple sources.
Furthermore, navigating different historical periods and understanding the chronology of events can be complex, especially when reading texts that span different time periods or discuss historical events out of sequence. It requires readers to have a solid understanding of historical timelines and the interconnectedness of events to grasp the full context of the text.
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Adding and subtracting mixed fractions
Answer:
what do yuo mean by adding and subtracting mixed fractions
can anyone help me solve this?
Answer:
Step-by-step explanation:
\((\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35\)
Subtract both sides from 35
\((\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35\)
Simplify:
\((\sqrt{z})^{2} -57=0\)
Factor \((\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})\)=0
\(\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0\)
\(\sqrt{z} +\sqrt{57} =0: No Solution for Z\)
\(\sqrt{z} -\sqrt{57} =0: z=57\)
Your answer will be z=57
and No solution
Answer:
(
z
+
22
)(
z
−
22
)=35
Subtract both sides from 35
(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(
z
+
22
(
z
−
22
)−35=35−35
Simplify:
(\sqrt{z})^{2} -57=0(
z
)
2
−57=0
Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(
z
)
2
−57:(
z
+
57
)(
z
−
57
) =0
\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0
z
+
57
=0or
z
−
57
=0
\sqrt{z} +\sqrt{57} =0: No Solution for Z
z
+
57
=0:NoSolutionforZ
\sqrt{z} -\sqrt{57} =0: z=57
z
−
57
=0:z=57
Your answer will be z=57
When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance. Find the time it takes a skydiver to fall 1,551 ft before opening the parachute. Round to the nearest tenth.
Answer:
When a skydiver jumps from an airplane, the distance d in feet the diver falls in t seconds before opening the parachute is given by the formula d=16t^2. The formula assumes that there is no air resistance.
Using first the customary ruler and then the metric
ruler, measure the length of the side of the wooden
block. remember to estimate to one place value
beyond the rulers' gradations.
1 3/32 in inches
y 2.78 cm centimeter
complete
calculate ratios for the number of centimeters in
an inch and the number of inches in a centimeter:
cm in or in/cm
1
hength
done
The number of centimeters in an inch is approximately 2.54, while the number of inches in a centimeter is approximately 0.39.
Using the customary ruler, the length of the side of the wooden block is measured as 1 3/32 inches.
This means the length is slightly over 1 inch but less than 1 1/8 inches.
To estimate one place value beyond the ruler's gradations, we can round the measurement to 1.1 inches.
Using the metric ruler, the length is measured as 2.78 centimeters. This measurement provides a more precise value in the metric system.
To calculate the ratio between centimeters and inches, we find that there are approximately 2.54 centimeters in an inch.
This means that for every 1 inch, there are approximately 2.54 centimeters.
Conversely, there are approximately 0.39 inches in a centimeter.
This means that for every 1 centimeter, there are approximately 0.39 inches.
In conclusion, the length of the wooden block's side is measured as 1.1 inches using the customary ruler and 2.78 centimeters using the metric ruler.
The conversion ratios between centimeters and inches are approximately 2.54 cm/inch and 0.39 inch/cm, respectively.
These ratios can be used to convert measurements between customary and metric systems.
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find the area giving brainlieas
Answer: 6.5 in
Step-by-step explanation:
Given the information we have, we first need to turn this into a parallelogram. So, now that we have a parallelogram, we need to find the area of that and divide it by two. So 3 1/4 x 4 = 13
So now that we have the area of the square, we need to divide it by two. \(\frac{13}{2} = 6.5\).
So our answer is 6.5 in
If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .
The value of ∠ F L H is 3x-6°
∠FLG and ∠FLH are adjacent angles with L being the common vertex and both the angles form the ∠HLG
As ∠FLG is given as 14x + 5° and ∠ H L G is given as 17 x − 1 °
We need to find the value of ∠ F L H
We can write that ∠FLG +∠FLH = ∠ H L G
by putting the values given
14 x + 5 ° + ∠ F L H = 17 x − 1 °
∠ F L H = 17x-1 - (14x + 50
Here we got a linear equation in one variable and by solving the equation we will get the value of ∠ F L H
∠ F L H = 17x - 1 - 14x -5
∠ F L H = 3x-6
Hence, the value of ∠ F L H is 3x-6°
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Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
Which term can be put in the blank to make the statement below true?
3,000,000=30________________
A. Thousands
B.Ten-Thousands
C.Hundred-Thousands
D.Millions
The graph shows the function f(x)=3^x
What is the value of x when f(x)=9?
A:3
B:1
C:0
D:2
15 POINTs_ NEED ASAP!
Tell whether the following statements are true or false, explain the reasoning.
Answer:
Step-by-step explanation:
1 TRUE
A number is always 100% Anyting bigger than 100% is going to be a bigger number
Anything smaller than 100% is a smaller number
2FALSE 5/100 = 0.05 and NOT 0.5
0.5% is the same as thalf of 100% = 50%
50/100 = 5/10 = 0.5
what determines the exact shape of a normal distribution?
The exact shape of a normal distribution is determined by its mean and standard deviation.
A normal distribution, also known as a Gaussian distribution or bell curve, is a symmetric probability distribution that follows a specific shape. The shape of a normal distribution is uniquely determined by its mean (μ) and standard deviation (σ).
Mean (μ): The mean represents the center of the distribution. It determines the location of the peak or highest point of the curve. Shifting the mean to the left or right will change the position of the peak accordingly.
Standard Deviation (σ): The standard deviation measures the spread or dispersion of the data. A smaller standard deviation indicates a narrower and taller curve, while a larger standard deviation results in a wider and flatter curve.
The combination of the mean and standard deviation determines the exact shape of the normal distribution. The curve is symmetric around the mean, and the standard deviation controls how quickly the probability density decreases as we move away from the mean.
The probability density function (PDF) of a normal distribution is given by the equation:
f(x) = (1 / (σ√(2π))) * e^(-((x-μ)^2) / (2σ^2))
where:
f(x) is the probability density at a given value of x
e is the base of the natural logarithm
π is a mathematical constant (approximately 3.14159)
The mean and standard deviation are the key parameters that determine the exact shape of a normal distribution. The mean determines the location of the peak, while the standard deviation controls the spread or dispersion of the data. By manipulating these parameters, we can alter the shape of the normal distribution to fit different datasets or statistical models.
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I will mark as brainly please hurry!
Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
Answer:
just divide and add x and y
Step-by-step explanation:
Answer:
11 days
Step-by-step explanation:
2600 = 235x+15
- 1 5 - 15
2585 235x
/235 /235
11 = x
What are the measurements of an acute isosceles triangle?
An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.
Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles. Thus the vertex angle is 38 and the base angle is 71 and their sum is 109.
The triangles 45/45/90 are always isosceles. This indicates that two of the triangle's legs are congruent. Which two sides of the figure are congruent is shown. The Pythagorean Theorem can be used to determine the hypotenuse's length from this point.
This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees.
Therefore,
An isosceles acute triangle is a triangle with at least two equal angles and three angles that are all less than 90 degrees. 50°, 50°, and 80° are three examples of the angles that make up an isosceles acute triangle.
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1) Determine a. b if || a |= 6,|| b ||= 4 and the angle between the vectors 0 = π/3 ?
A) 24
B)-12
C) 12
D) None of the above
The dot product of vectors a and b || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.
The dot product of two vectors, we can use the formula:
a · b = ||a|| ||b|| cos(theta)
where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.
In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.
Substituting these values into the formula, we have:
a · b = 6 × 4 × cos(π/3)
To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:
a · b = 6 × 4 × 1/2
= 12
Therefore, the dot product of vectors a and b is 12.
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What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Answer:
r = -6 cos(θ)
Step-by-step explanation:
got it right on edge
The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).
What is the polar form?The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.
To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:
(x + 3)² + y² = (x² + 6x + 9) + y² = 9
Then we can express x and y in terms of r and θ:
x = r cos(θ) , y = r sin(θ)
Substituting these values into the equation and simplifying:
r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9
r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0
r² + 6r cos(θ) = 0
r(r + 6cos(θ)) = 0
Since r ≠ 0
So, the polar form of the equation is:
r = -6cos(θ)
Thus, the correct answer would be an option (A).
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can you guys help me with this question
The first step that we must take before attempting to solve a problem is to understand what the problem is asking us to do and what is given to us to help do it. Looking at the problem statement, it asks for us to determine the area of the figure. In return, we are given the radius of the circle along with the number to use for pi.
Now that we have gathered all of the important information, we can move onto the actual calculations of the problem. Let us use the area of a circle formula to be able to capture the work.
Plug in the values
\(A_{circle}=radius^2*\pi\)\(A_{circle}=(14\ cm)^2*\frac{22}{7}\)Now that we have the expression ready we have several steps that need to be completed in order to have our area ready. Let us start by expanding the exponent.
Expand the exponent
\(A_{circle}=(14)^2*(cm)^2*\frac{22}{7}\)\(A_{circle}=196*cm^2*\frac{22}{7}\)\(A_{circle}=196\ cm^2*\frac{22}{7}\)Multiply
\(A_{circle}=\frac{196\ cm^2\ *\ 22}{7}\)\(A_{circle}=\frac{4312\ cm^2}{7}\)Simplify the expression
\(A_{circle}=\frac{4312\ cm^2/7}{7/7}\)\(A_{circle}=\frac{616\ cm^2}{1}\)\(A_{circle}=616\ cm^2\)Therefore, after creating an expression and simplifying it we were able to determine that the area of the circle that was provided with a radius of 14 cm has an area of 616 square centimeters.
Answer:
616 square centimeters
Step-by-step explanation:
Area of a circle: πr²
Given:
π = ²²⁄₇r (radius) = 14 cmSubstitute the given values into the formula:
\(A=\dfrac{22}{7}\times(14)^2\\\\A= \dfrac{22}{7}\times \dfrac{196}{1}\\\\A= \dfrac{4312}{7}\\\\A = 616\)
Therefore, the area of the circle is 616 cm².
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